The movement of a solid in an incompressible perfect fluid as a geodesic flow

DOI10.1090/S0002-9939-2011-11219-XzbMath1261.76009arXiv1102.1380MaRDI QIDQ2884435

Olivier Glass, Franck Sueur

Publication date: 29 May 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1380

zbMATH Keywords

critical pointleast action principleRiemann manifold

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Applications of differential geometry to physics (53Z05) Incompressible inviscid fluids (76B99) Dynamics of a rigid body and of multibody systems (70E99)

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Cites Work

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• Groups of diffeomorphisms and the motion of an incompressible fluid
• Smoothness of the motion of a rigid body immersed in an incompressible perfect fluid
• On the stability of the dynamical system ‘rigid body + inviscid fluid’
• Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid
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